A164374 Numbers that are the sum of 2 distinct palindromic primes.

5, 7, 8, 9, 10, 12, 13, 14, 16, 18, 103, 104, 106, 108, 112, 133, 134, 136, 138, 142, 153, 154, 156, 158, 162, 183, 184, 186, 188, 192, 193, 194, 196, 198, 202, 232, 252, 282, 292, 312, 315, 316, 318, 320, 322, 324, 332, 342, 355, 356, 358, 360, 364, 372, 375, 376, 378

Offset: 1

Author

Juri-Stepan Gerasimov, Aug 14 2009

Keywords

• nonn
• base

Comments

Numbers of the form A002385(i)+A002385(j), i<> j.

Examples

			a(1)=2+3=5. a(2)=2+5=7. a(3)=3+5=8. 11+191=202. 101+131=232.
		

Crossrefs

Cf. A002385, A046400, A115683.

Programs

Mathematica

Select[Range[400],Count[IntegerPartitions[#,{2}],?(AllTrue[#,PrimeQ]&&AllTrue[#,PalindromeQ]&&#[[1]]!=#[[2]]&)]>0&] (* _Harvey P. Dale, Jul 23 2025 *)

Extensions

Missing numbers inserted by R. J. Mathar, Aug 26 2009